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Review of Ars Magna or the Rules of Algebra
Reviewed by a reader, from Tuebingen,
Germany
The "Ars Magna" by Girolamo Cardano is one of the
most important books of the 16th century, a milestone for algebra
and mathematics. With its new way of treating scientific problems,
it's also a typical representant of the Italian Renaissance.
This is a long overdue re-issue, translated from Latin into
English and adapted to modern mathematical syntax. Mathematicians
and historians both will enjoy it!
Review of Algebra 1, 1983
Reviewed by Michael K. Drotar, from Portland,
Oregon United States
This is by far one of the best math books in the Dover catalogue.
While the prose is admittedly dry, the clarity of the exposition
is flawless. The author begins his discussion with a chapter
on set theory and wisely takes an intuitive appraoch rather
than a theoretical one. This makes the second chapter, which
gives an axiomatic account of the fundamentals of Boolean algebra,
much easier to digest. Once you master the first two chapters,
the rest of the books is smooth sailing. From here the author
gives detailed, yet succinct, accounts of the applicatons of
Boolean algebra to symbolic logic, switching circuits, relay
circuits, binary arithmetic, and probability theory. Although
the book is aimed primarily at math, computer science, and electrical
engineering majors, it accessible to anyone who is comfortable
with college level mathematics. It is especially helpful to
the philosophy student who wishes to learn about symbolic logic
and its applications to the foundations of computer science.
Reviewed by Mac, from Los Angeles area
Though written with dry prose, this book is very much worth
studying to anyone with an interest in the subject.Targeted
toward math and computer science undergraduates and to a certain
extent electrical engineering types, the book progresses like
a math course. It gives the greatest emphasis to the key topics
(like the title) and builds on the most basic sub-topics. In
Boolean Algebra, that sub-topic is Set Theory. Therefore this
book requires a level of thinking beyond the ordinary, but once
you understand Set Theory, the rest is easy. And to make it
easier on the reader, the lessons on Set Theory are totally
intuitive, assuming the reader has at least taken algebra.
Reviewed by newton fisher, from riverside,
ca
This book fell to the floor where it was pounced upon and chewed
by my nieces 3 pound dog who 'forthwith' lost 10 pounds of the
nectar of life. We shall be suing Dover for her wrongful death
by dehydration. Boolean Algebra is a fine subject but this book
... the most turgid bit of writing since 'OG the trog-dude'
first scratched a mark on a cave wall.
Review of Introductory Algebra for College Students and Math Skills for College Students and How to Study Math Package
Editorial review
The purpose of this book is to give a thorough introduction
to the most commonly used methods of numerical linear algebra
and optimisation. The prerequisites are some familiarity with
the basic properties of matrices, finite-dimensional vector
spaces, advanced calculus, and some elementary notations from
functional analysis. The book is in two parts. The first deals
with numerical linear algebra (review of matrix theory, direct
and iterative methods for solving linear systems, calculation
of eigenvalues and eigenvectors) and the second, optimisation
(general algorithms, linear and nonlinear programming). The
author has based the book on courses taught for advanced undergraduate
and beginning graduate students and the result is a well-organised
and lucid exposition. Summaries of basic mathematics are provided,
proofs of theorems are complete yet kept as simple as possible,
and applications from physics and mechanics are discussed. Professor
Ciarlet has also helpfully provided over 40 line diagrams, a
great many applications, and a useful guide to further reading.
This excellent textbook, which is translated and revised from
the very successful French edition, will be of great value to
students of numerical analysis, applied mathematics and engineering.
Review of Algebra and Practical Applications
Editorial review
Happel presents an introduction to the use of triangulated categories
in the study of representations of finit-dimensional algeras.
In recent years representation theory has been an area of intense
research and the author shows that derived categories of finite=dimensional
algebras are a useful tool in studying tilting processes. Results
on the structure of derived categories of hereditary algebras
are used to investigate Dynkin algebras and iterated tilted
algebras. The author shows how triangulated categories arise
naturally in the study of Frobenius categories. The study of
trivial extension algebras and repetitive algebras is then developed
using the triangulated structure on the stable category of the
algebra's module category. With a comprehensive reference section,
algebraists and research students in this field will find this
an indispensable account of the theory of finite-dimensional
algebras.
Review of Prealgebra
Editorial review
Modern computer networks now circle the world, but the transmission
of information between them depends on the many different protocols
that define the behaviour of the sender and receiver. It is
clear therefore, that the accurate description of these protocols
is important if harmonious communication is to be maintained.
In this book the authors use the formal specification language
PSF to provide an unambiguous description of several communication
protocols of varying levels of complexity, ranging from the
alternating bit protocol to the token ring protocol. Beginners,
as well as professionals in the field of communication protocols,
will benefit from both the methods of specification described
and the protocols discussed in this book.
Review of Multiplicities and Chern Classes in Local Algebra
Editorial review
The theory of local Chern characters used in commutative algebra
originated in topology about thirty years ago, and from there
was introduced in algebraic geometry. This book describes the
theory in an algebraic setting, presenting recent research results
and important algebraic applications, some of which come from
the author's own work. It concentrates on the background in
commutative algebra and homological algebra and describes the
relations between these subjects, including extensive discussions
of the homological conjectures and of the use of the Frobenius
map. It will be particularly useful for graduate students and
researchers.
Review of Casio 9850 Graphic Module to Accompany College Algebra, Graphs and Models and Algebra and Trigonomet
Editorial review
Finite fields are algebraic structures in which there is much
research interest. This book gives a state-of-the-art account
of finite fields and their applications in communications (coding
theory, cryptology), combinatorics, design theory, quasirandom
points, algorithms and their complexity. Typically, theory and
application are tightly interwoven in the survey articles and
original research papers included here. The book also demonstrates
interconnections with other branches of pure mathematics such
as number theory, group theory and algebraic geometry. This
volume is an invaluable resource for any researcher in finite
fields or related areas.
Review of More Practising Algebra
Editorial review
Practising Algebra is aimed at the students in the senior years
of secondary education and covers work which spans Years 11and
12, with some more advanced material, depending upon course
content and state. The material can serve as: - as support for
day to day work - as revision for tests - as a reference for
other set work Each section follows the same format: - a summary
of the skills involved in the section - a number of single focus
skills exercises - a true/false exercise to alert students to
important facts - an exercise of applications of the skills
in the section Each single focus exercise is preceeded by a
worked example, the 'boxed' presentation makes it easy to identify
and follow.
Review of Intermediate Algebra, Revised Prelim
Editorial review
This workbook/CD-ROM package is almost identical to the package
published in mid-2001 under ISBN 0-534-39009-9, except for the
addition of an updated introductory pamphlet, to be used instead
of pages ix to xxxiv in the bound book. Designed for a computer-based
course, the workbook contains exercises on real numbers, exponents,
the language of algebra, linear equations, relations and functions,
equations and inequalities, roots and radicals, polynomials,
quadratic equations, ratios and rates, and rational expressions.
Selected answers are included. The three CD-ROMs run on all
Windows and Macinstosh platforms, on stand-alone computers,
over a LAN, and over the internet.Book News, Inc.®, Portland,
OR
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